Gauge theories of quantum groups

Leonardo Castellani

doi:10.1016/0370-2693(92)90613-9

Gauge theories of quantum groups

Leonardo Castellani

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

We find two different q-generalizations of Yang-Mills theories. The corresponding lagrangians are invariant under the q-analogue of infinitesimal gauge transformations. We explicitly give the lagrangian and the transformation rules for the bicovariant q-deformation of SU(2) × U(1). The gauge potentials satisfy q-communications, as one expects from the differential geometry of quantum groups. However, in one of the two schemes we present, the field strengths do commute.

Lingua originale	Inglese
pagine (da-a)	93-98
Numero di pagine	6
Rivista	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	292
Numero di pubblicazione	1-2
DOI	https://doi.org/10.1016/0370-2693(92)90613-9
Stato di pubblicazione	Pubblicato - 8 ott 1992
Pubblicato esternamente	Sì

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10.1016/0370-2693(92)90613-9

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AB - We find two different q-generalizations of Yang-Mills theories. The corresponding lagrangians are invariant under the q-analogue of infinitesimal gauge transformations. We explicitly give the lagrangian and the transformation rules for the bicovariant q-deformation of SU(2) × U(1). The gauge potentials satisfy q-communications, as one expects from the differential geometry of quantum groups. However, in one of the two schemes we present, the field strengths do commute.

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Gauge theories of quantum groups

Abstract

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